my own "favourite" false memory is a cover version of Leonard Cohen's Hallelujah done by Nick Cave. The is a song named Hallelujah by Nick Cave but it is a different song. None the less I remeber very distinctly Nick Caves cover version of Hallelujah sung in his unmistakable style.
I went so far to listen to several dozen cover versions of Hallelujah on Spotify and Youtube but found none that came even near.